Answer:
1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) 
Step-by-step explanation:
Completing with what was found:
<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>
1. What do x and y represent in this situation?
X stands for individual acts and y, group acts.
Besides that, In the system of equation, they represent the time for x, and the time for y.
2. Do you agree that your classmate set up the equations correctly? Explain why or why not.
Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.
3. Solving the system by Elimination

The answer is 29 I put it in my scientific calculator
Answer:
The area of the shape (trapezoid) is 55 square feet.
Step-by-step explanation:
The formula to get the area of a trapezoid is
. b1 is one of the bases, b2 is the other and h is the height.
First, you need to find the average of the bases:
(15+7=22)/2=11
Then, you multiply that by the height.
11*5=55
Lastly, you add the units.
55 square feet is the answer
It is the second function:
y=(1/2)^(x-3)
When x=0, the exponent is -3. (1/2)^-3 is 8.
y = 8+1 = 9
Answer:
3
Step-by-step explanation:
Average = total sum of all numbers/number of items in set
Average = 18/6
Average = 3